363536640 has 288 divisors, whose sum is σ = 1317644160. Its totient is φ = 94887936.

The previous prime is 363536623. The next prime is 363536647. The reversal of 363536640 is 46635363.

It is a happy number.

363536640 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 363536595 and 363536604.

It is not an unprimeable number, because it can be changed into a prime (363536647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315442 + ... + 2315598.

Almost surely, 2^363536640 is an apocalyptic number.

363536640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658822080).

363536640 is an abundant number, since it is smaller than the sum of its proper divisors (954107520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363536640 is a wasteful number, since it uses less digits than its factorization.

363536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 363536640 is about 19066.6368298135. The cubic root of 363536640 is about 713.7006018221.

The spelling of 363536640 in words is "three hundred sixty-three million, five hundred thirty-six thousand, six hundred forty".